10001002110121 has 12 divisors (see below), whose sum is σ = 10993919397300. Its totient is φ = 9090924909440.

The previous prime is 10001002110091. The next prime is 10001002110157. The reversal of 10001002110121 is 12101120010001.

It can be written as a sum of positive squares in 2 ways, for example, as 4818727425600 + 5182274684521 = 2195160^2 + 2276461^2 .

It is not a de Polignac number, because 10001002110121 - 2⁷ = 10001002109993 is a prime.

It is a super-2 number, since 2×10001002110121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001002110098 and 10001002110107.

It is not an unprimeable number, because it can be changed into a prime (10001002110521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2833516 + ... + 5294413.

It is an arithmetic number, because the mean of its divisors is an integer number (916159949775).

Almost surely, 2^{10001002110121} is an apocalyptic number.

10001002110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001002110121 is a deficient number, since it is larger than the sum of its proper divisors (992917287179).

10001002110121 is a wasteful number, since it uses less digits than its factorization.

10001002110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138120 (or 8138109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001002110121 its reverse (12101120010001), we get a palindrome (22102122120122).

The spelling of 10001002110121 in words is "ten trillion, one billion, two million, one hundred ten thousand, one hundred twenty-one".